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Finding the Third Proportional to 42,053 and 88,000

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Solution

The third proportional to 42,053 and 88,000 is: 184,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,053 : 88,000 = 88,000 : x
  2. Step 2: Convert to fraction form
    42,053/88,000 = 88,000/x
  3. Step 3: Cross multiply
    42,053x = 88,000 × 88,000
  4. Step 4: Simplify right side
    42,053x = 7,744,000,000
  5. Step 5: Solve for x
    x = 7,744,000,000/42,053
  6. Step 6: Final answer
    x = 184,148.57

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.